Minimal four-body equations

Journal Article · Tue Feb 28 23:00:00 EST 1978 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.17.903· OSTI ID:6842049

Adhikari, S K

The constraints of unitarity and analyticity on four-body final state amplitudes are studied in the quasi-two-body scheme. The implementaton of unitarity with total energy analyticity yields the minimal set of scattering equations for the problem consistent with constraints of quantum mechanics. The minimal set we obtain gives a dynamical scheme which is distinct from the full four-body scattering scheme. Nevertheless, with the assumption of separable approximation for two- and three-body interactions we get simple Lippmann-Schwinger type equations for four identical bosons for the following two-to-two processes: nt ..-->.. nt, nt ..-->.. dd, dd ..-->.. dd, and dd ..-->.. nd. Here n, d, and t refer to nucleon, deuteron, and triton type states. The amplitudes for the breakup processes can also be related to these amplitudes.

• Research Organization: Departmento de Fisica, Universidade Federal de Pernambuco, 50.000 Recife, Pe, Brazil
• OSTI ID: 6842049
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 17:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOSONS
EQUATIONS
FOUR-BODY PROBLEM
INTEGRAL EQUATIONS
INTERACTIONS
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MECHANICS
PARTICLE INTERACTIONS
QUANTUM MECHANICS
SCATTERING AMPLITUDES
UNITARITY